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Non-reflecting boundary conditions for the two-dimensional Schrödinger equation

✍ Scribed by Achim Schädle

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
83 KB
Volume
35
Category
Article
ISSN
0165-2125

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✦ Synopsis

Non-reflecting boundary conditions are introduced for the two-dimensional Fresnel/Schrödinger equation. These are nonlocal in time and in space. Time discretization is done by the trapezoidal rule in the interior and by convolution quadrature on the boundary. A convergence estimate is given for the semidiscretization. Space discretization is done using the finite element method and coupling the boundary conditions by collocation. A numerical example is given.

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